determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. (a) the…

determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. (a) the function is increasing on the interval(s) (5,1)((5,2)). (use a comma to separate answers as needed. type your answer in interval notation.)

determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. (a) the function is increasing on the interval(s) (5,1)((5,2)). (use a comma to separate answers as needed. type your answer in interval notation.)

Answer

Explanation:

Step1: Identify increasing - interval concept

An increasing function has $y$ - values rising as $x$ - values increase.

Step2: Analyze the graph

Looking at the graph, the function is increasing from $x=- 3$ to $x = 1$.

Answer:

$(-3,1)$

Explanation:

Step1: Identify decreasing - interval concept

A decreasing function has $y$ - values falling as $x$ - values increase.

Step2: Analyze the graph

The function is decreasing from $x = 2$ to $x=4$.

Answer:

$(2,4)$

Explanation:

Step1: Identify constant - interval concept

A constant function has $y$ - values staying the same as $x$ - values change.

Step2: Analyze the graph

The function is constant from $x = 1$ to $x = 2$.

Answer:

$(1,2)$